3 papers
math.AT2026
Quillen's conjecture and unitary groups
Antonio DÃaz Ramos
We prove that the Quillen posets of -extensions of simple unitary groups have non-zero homology in the largest possible dimension, with just a few excepti…
math.GR2025
Every finite group is represented by a finite incidence geometry
Antonio DÃaz Ramos, Rémi Molinier, Antonio Viruel
We investigate the relationship between finite groups and incidence geometries through their automorphism structures. Building upon classical results on the realizability of groups…
math.AT2025
Cohomology of non-finite CL-shellable posets
Guille Carrión Santiago, Antonio DÃaz Ramos
Shellable complexes are homotopy equivalent to a wedge of spheres of possibly different dimensions, so that the (co)homology of the constant functor over the complex is concentrate…